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44393040 = 2432561657
BaseRepresentation
bin1010100101011…
…0001001010000
310002112101210200
42221112021100
542331034130
64223255200
71046222526
oct251261120
9102471720
1044393040
112307116a
1212a4a500
139274293
145c78316
153d6d760
hex2a56250

44393040 has 60 divisors (see below), whose sum is σ = 149089044. Its totient is φ = 11837952.

The previous prime is 44393033. The next prime is 44393047. The reversal of 44393040 is 4039344.

It is an interprime number because it is at equal distance from previous prime (44393033) and next prime (44393047).

It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 25522704 = 4344^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 44392995 and 44393013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44393047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30109 + ... + 31548.

Almost surely, 244393040 is an apocalyptic number.

44393040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44393040 is an abundant number, since it is smaller than the sum of its proper divisors (104696004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44393040 is a wasteful number, since it uses less digits than its factorization.

44393040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61676 (or 61667 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 44393040 is about 6662.8102179186. The cubic root of 44393040 is about 354.0829069438.

The spelling of 44393040 in words is "forty-four million, three hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 61657 123314 184971 246628 308285 369942 493256 554913 616570 739884 924855 986512 1109826 1233140 1479768 1849710 2219652 2466280 2774565 2959536 3699420 4439304 4932560 5549130 7398840 8878608 11098260 14797680 22196520 44393040